LEADER 05130nam 22007455 450 001 9910254091403321 005 20220407184135.0 010 $a81-322-3598-3 024 7 $a10.1007/978-81-322-3598-9 035 $a(CKB)3710000000831902 035 $a(DE-He213)978-81-322-3598-9 035 $a(MiAaPQ)EBC4648530 035 $a(PPN)194800814 035 $a(EXLCZ)993710000000831902 100 $a20160817d2016 u| 0 101 0 $aeng 135 $aurnn#008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aDifferential equations and numerical analysis$b[electronic resource] $eTiruchirappalli, India, January 2015 /$fedited by Valarmathi Sigamani, John J. H. Miller, Ramanujam Narasimhan, Paramasivam Mathiazhagan, Franklin Victor 205 $a1st ed. 2016. 210 1$aNew Delhi :$cSpringer India :$cImprint: Springer,$d2016. 215 $a1 online resource (XI, 165 p. 21 illus.) 225 1 $aSpringer Proceedings in Mathematics & Statistics,$x2194-1009 ;$v172 311 $a81-322-3596-7 320 $aIncludes bibliographical references at the end of each chapters. 327 $aElementary Tutorial on Numerical Methods for Singular Perturbation Problems -- Interior Layers in Singularly Perturbed Problems -- Singularly Perturbed Delay Differential Equations and Numerical Methods -- Initial or boundary value problems for systems of singularly perturbed differential equations and their solution profile -- Convergence of the Crank Nicolson Method for a singularly perturbed parabolic reaction-diffusion system -- Iterative Numerical Method for a System of Singularly Perturbed Reaction - Diffusion Equations with Negative shifts -- Parameter Uniform Numerical Method for Second Order Singularly Perturbed Turning Point Problems with Robin Boundary Conditions -- Numerical Method for a Singularly Perturbed Boundary Value Problem for a Linear Parabolic Second Order Delay Differential Equation -- A Parameter Uniform Numerical Method for an Initial Value Problem for a System of Singularly Perturbed Delay Differential Equations with Discontinuous Source terms -- A parameter uniform first order convergent numerical method for a semilinear system of singularly perturbed second order delay differential equations. 330 $aThis book offers an ideal introduction to singular perturbation problems, and a valuable guide for researchers in the field of differential equations. It also includes chapters on new contributions to both fields: differential equations and singular perturbation problems. Written by experts who are active researchers in the related fields, the book serves as a comprehensive source of information on the underlying ideas in the construction of numerical methods to address different classes of problems with solutions of different behaviors, which will ultimately help researchers to design and assess numerical methods for solving new problems. All the chapters presented in the volume are complemented by illustrations in the form of tables and graphs. 410 0$aSpringer Proceedings in Mathematics & Statistics,$x2194-1009 ;$v172 606 $aDifferential equations 606 $aPartial differential equations 606 $aApplied mathematics 606 $aEngineering mathematics 606 $aComputer mathematics 606 $aNumerical analysis 606 $aOrdinary Differential Equations$3https://scigraph.springernature.com/ontologies/product-market-codes/M12147 606 $aPartial Differential Equations$3https://scigraph.springernature.com/ontologies/product-market-codes/M12155 606 $aApplications of Mathematics$3https://scigraph.springernature.com/ontologies/product-market-codes/M13003 606 $aComputational Science and Engineering$3https://scigraph.springernature.com/ontologies/product-market-codes/M14026 606 $aNumerical Analysis$3https://scigraph.springernature.com/ontologies/product-market-codes/M14050 615 0$aDifferential equations. 615 0$aPartial differential equations. 615 0$aApplied mathematics. 615 0$aEngineering mathematics. 615 0$aComputer mathematics. 615 0$aNumerical analysis. 615 14$aOrdinary Differential Equations. 615 24$aPartial Differential Equations. 615 24$aApplications of Mathematics. 615 24$aComputational Science and Engineering. 615 24$aNumerical Analysis. 676 $a515.35 702 $aSigamani$b Valarmathi$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aMiller$b John J. H$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aNarasimhan$b Ramanujam$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aMathiazhagan$b Paramasivam$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aVictor$b Franklin$4edt$4http://id.loc.gov/vocabulary/relators/edt 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910254091403321 996 $aDifferential equations and numerical analysis$91523266 997 $aUNINA